Motors including tessellating semi-Halbach stators

ABSTRACT

A device including a plurality of motors is disclosed. The device includes a body comprising a plurality of magnet arrays. Each magnet array comprises a plurality of magnets which define a polygon and the plurality of magnets are arranged in a semi-Halbach configuration. The polygons of the plurality of magnet arrays form a tessellating pattern in which the magnet arrays each share at least one magnet with another one of the magnet arrays. Each magnet is configured to be rotatable relative to the body, or in the case of coils as magnets, the input of each coil can be manipulated to replicate the same or similar effect. The device further comprises a plurality of rotors, wherein each magnet array is configured to receive a rotor rotatable relative to the body.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application is a continuation-in-part of prior application Ser. No. 14/811,906, filed Jul. 29, 2015.

STATEMENT REGARDING FEDERALLY SPONSORED RESEARCH OR DEVELOPMENT

Not applicable

BACKGROUND Field of the Invention

This invention relates generally to a method and apparatus for providing power using an electric motor. More specifically, the present invention relates to an electric motor including a tessellating semi-Halbach stator.

Background of the Invention

Nuclear magnetic resonance (NMR) is a powerful tool for analysis of rock core samples extracted from underground formations during oil and gas exploration and production. NMR is sensitive to water and hydrocarbons, but insensitive to the rock matrix, providing a porosity measurement that includes only the fluid in the pore spaces. It can also be used to characterize the mixture of fluids present in the sample as extracted, including both bound and free water, and different molecular weights of both live and dead oil. NMR also provides a non-destructive method for measuring the pore size distribution of the sample, unlike mercury injection methods which contaminate the sample.

NMR core measurements are conducted using “low-field” devices that typically apply a static magnetic field on the order of 500 Gauss (G) to the sample, yielding an NMR measurement frequency on the order of 2 MHz for hydrogen nuclei (similar to the measurement frequency of NMR logging tools). Such fields can be generated using arrays of permanent magnets. For comparison, “high-field” magnetic resonance devices common in medical and chemistry applications typically apply a static field in the range of 10,000 G to more than 200,000 G, for frequencies of 40 MHz to more than 1 GHz; it is generally not possible to achieve such field strength using permanent magnets, and so these fields can only be sustained using superconducting coils. (Electromagnets can be used for fields up to about 30,000 G.) Low-field measurements are preferred for rock analysis because they are more easily correlated with logging data, because low-field devices are significantly less expensive both to purchase and to maintain, and because strong magnetic fields introduce unacceptable susceptibility artifacts caused by distortions of the field at the surface of the rock matrix (such as at the rock-pore boundaries).

One problem with current devices is the lack of parallelism; samples are analyzed one at a time, and multiple scans (for purposes of signal averaging) generally require a low duty cycle because of the long repolarization time of the nuclear spins in the sample. It could potentially be much more efficient to use a device that can be loaded with multiple samples and analyze them in parallel.

Consequently, there is a need for improved methods and tools to use NMR for analyzing rock core or fluid samples from potential or existing hydrocarbon-bearing subsurface formations.

Additionally, a variety of motor technologies and systems are used to generate propulsion, movement or rotational drive in electrical and mechanical devices. These technologies generally include an electric drive system which includes an electric motor to bring about the motion. With an ever increasing number of applications required for electrical and mechanical devices, efficiency and power consumption have become important factors in design and deployment of electric motors.

BRIEF SUMMARY

A sensor and a method are disclosed for analyzing fluid and/or rock samples from a subsurface formation. Embodiments of the sensor and method utilize one or more arrays of magnets arranged in a specific way. The magnet arrays may each also include a corresponding array of radiofrequency (RF) circuits and electronics. The arrays and their arrangement may allow for NMR analysis of multiple samples or analysis of fluid samples which were not possible with existing technology. Further details and advantages of various embodiments of the method are described in more detail herein.

In an embodiment, a nuclear magnetic resonance (NMR) sensor comprises a plurality of magnet arrays. Each magnet array comprises a plurality of magnets arranged in a semi-Halbach configuration. The semi-Halbach configuration produces a magnetic field both inside and outside of the array. The magnetic field distribution inside the array comprises a sweet spot, and the magnets are non-contiguous to one another.

In another embodiment, a system for using nuclear magnetic resonance (NMR) to analyze a core or fluid sample from a subsurface formation comprises a plurality of magnet arrays. Each magnet array comprises a plurality of magnets arranged in a semi-Halbach configuration. The semi-Halbach configuration produces a magnetic field both inside and outside of the array. The magnetic field distribution inside the array comprises a sweet spot, and the magnets are non-contiguous to one another. The system also comprises an interface for receiving one or more user inputs. The system additionally comprises a memory resource. Moreover, the system comprises input and output functions for presenting and receiving communication signals to and from a human user. The system also comprises one or more central processing units for executing program instructions coupled to the NMR sensor and configured to receive one or more signals from the NMR sensor; and program memory, coupled to the central processing unit, for storing a computer program including program instructions that, when executed by the one or more central processing units, cause the system to perform a plurality of operations for analyzing a fluid or core sample from a subsurface formation.

In an embodiment, a method of using nuclear magnetic resonance (NMR) to analyze a sample from a subsurface formation comprises disposing a sample extracted from a subsurface formation within an NMR sensor. The NMR sensor comprises one or more magnet arrays. Each magnet array comprises a plurality of magnets arranged in a semi-Halbach configuration. The semi-Halbach configuration produces a magnetic field both inside and outside of the array. The magnetic field distribution inside the array comprises a sweet spot. The magnets are non-contiguous to one another. The method further comprises using the NMR sensor to analyze the sample.

In another embodiment, a method of using nuclear magnetic resonance (NMR) to analyze a fluid sample from a subsurface formation comprises flowing a fluid sample extracted from a subsurface formation through an NMR sensor. The NMR sensor comprises one or more magnet arrays. Each magnet array comprises a plurality of magnets arranged in a semi-Halbach configuration. The semi-Halbach configuration produces a magnetic field both inside and outside of the array. The magnetic field distribution inside the array comprises a sweet spot. The magnets are non-contiguous to one another. The method also comprises using the NMR sensor to analyze the fluid sample.

In another embodiment, a device including a plurality of motors is disclosed. The device includes a body comprising a plurality of magnet arrays. Each magnet array comprises a plurality of magnets (or magnetic elements) which define a polygon and the plurality of magnets for each array are arranged in a semi-Halbach configuration. The polygons of the plurality of magnet arrays form a tessellating pattern in which the magnet arrays each share at least one magnet with another one or more of the magnet arrays. In one example embodiment, each magnet is configured to be rotatable relative to the body. The device further comprises a plurality of rotors, wherein each magnet array is configured to receive a rotor rotatable relative to the body. The embodiments provided herein may be used for power generation. Moreover, the embodiments provided herein may be used to modify the design of vehicles, such as aerial or submersible drones.

In another embodiment, a method for generating a variable magnetic field is disclosed. This method generates variable magnetic fields in a plurality of magnetic arrays. The method comprises rotating magnets in a plurality of magnet arrays. The magnet arrays are located in a body. Each magnet array comprises a plurality of magnets which define a polygon and the plurality of magnets are arranged in a semi-Halbach configuration. The polygons of the plurality of magnet arrays form a tessellating pattern in which the magnet arrays each share at least one magnet with another one of the magnet arrays. The method comprises rotating one or more of the magnets at a predetermined rate and direction. This rotation will result in an oscillation in the magnetic field within each array.

In another embodiment, a device for generating electricity is disclosed. The device can comprise a body including a plurality of magnet arrays, wherein each magnet array comprises a plurality of coils which define a polygon and the plurality of coils are arranged in a semi-Halbach configuration; and the polygons of the magnet arrays form a tessellating pattern in which the magnet arrays each share at least one coil with another one of the magnet arrays. The device can further comprise a plurality of magnetic rotors, wherein each magnet array is configured to receive a magnetic rotor rotatable relative to the body.

In one example embodiment, a method for generating electricity is disclosed. The method comprises receiving at a generator a rotational force from a source of energy, e.g., wind turbine, and generating electricity using the rotational force. The rotational force can be received at a transfer input element of the generator. The rotational force can rotate at least one rotor of the generator, and the rotor can generate electricity in the coils of the generator. The generator can include a plurality of magnet arrays. Each magnet array comprises a plurality of coils which define a polygon and the plurality of coils are arranged in a semi-Halbach configuration. The polygons of the magnet arrays form a tessellating pattern in which the magnet arrays each share at least one coil with another one of the magnet arrays.

The foregoing has outlined rather broadly the features and technical advantages of the invention in order that the detailed description of the invention that follows may be better understood. Additional features and advantages of the invention will be described hereinafter that form the subject of the claims of the invention. It should be appreciated by those skilled in the art that the conception and the specific embodiments disclosed may be readily utilized as a basis for modifying or designing other structures for carrying out the same purposes of the invention. It should also be realized by those skilled in the art that such equivalent constructions do not depart from the spirit and scope of the invention as set forth in the appended claims.

BRIEF DESCRIPTION OF THE DRAWINGS

For a detailed description of the preferred embodiments of the invention, reference will now be made to the accompanying drawings in which:

FIG. 1A illustrates an embodiment of an NMR sensor for analyzing samples from a sub surface formation;

FIG. 1B illustrates an example of a “sweet spot” from an embodiment of an NMR sensor for analyzing samples from a subsurface formation;

FIG. 1C illustrate a theoretical embodiment of an NMR sensor for analyzing samples from a subsurface formation. In this embodiment, the sensor includes a two-dimensional grid of magnets with a separation of 2d, with an NMR detection region at the origin;

FIG. 2A illustrates a computer simulation of the magnetic field strength, B, from an embodiment of the NMR sensor with four (4) magnets per array with magnetizations oriented appropriately to maintain a 4π Halbach condition;

FIG. 2B illustrates a computer simulation of the magnetic field component, By, from an embodiment of the NMR sensor with four (4) magnets per array showing that the direction of the field is reversed between alternating rows/columns;

FIG. 3A illustrates a computer simulation of the magnetic field strength, B, from an embodiment of the NMR sensor with three (3) magnets per array with magnetizations oriented appropriately to maintain a 4π Halbach condition;

FIG. 3B illustrates direction of the magnetic field vector in the x-y plane at each sweet spot for the embodiment with three magnets per array;

FIG. 4A illustrates a computer simulation of the magnetic field strength, B, from an embodiment of the NMR sensor with six (6) magnets per array with magnetizations oriented appropriately to maintain a 4π Halbach condition in a subset of the arrays;

FIG. 4B illustrates a computer simulation of the direction of the magnetic field vector in the x-y plane at each sweet spot from an embodiment of the NMR sensor with six (6) magnets per array with magnetizations oriented appropriately to maintain a 4π Halbach condition in a subset of the arrays;

FIG. 5A illustrates a computer simulation of the magnetic field strength, B, from an embodiment of the NMR sensor with six (6) magnets per array with all magnetizations oriented parallel;

FIG. 5B illustrates a computer simulation of the direction of the magnetic field vector in the x-y plane at each sweet spot from an embodiment of the NMR sensor with six (6) magnets per array with all magnetizations oriented parallel;

FIG. 6A illustrates a computer simulation of the magnetic field strength, B, from an embodiment of the NMR sensor with eight (8) magnets per array;

FIG. 6B illustrates a computer simulation of direction of the magnetic field vector in the x-y plane at each sweet spot from an embodiment of the NMR sensor with eight (8) magnets per array;

FIG. 7A illustrates a computer simulation of the magnetic field strength, B, from an embodiment of the NMR sensor with eight (8) magnets per array;

FIG. 7B illustrates a computer simulation of the direction of the magnetic field vector in the x-y plane at each sweet spot from an embodiment of the NMR sensor with eight (8) magnets per array;

FIG. 8A illustrates another embodiment of the NMR sensor;

FIG. 8B illustrates the predicted sweet spots of an embodiment of the NMR sensor from FIG. 8A from a computer simulation;

FIG. 9 illustrates a computer simulation of the magnetic field strength, B, and the predicted sweet spots from an embodiment of the NMR sensor with 52 magnets;

FIG. 10 illustrates a schematic of a computer system which may be used with embodiments of the NMR sensor; and

FIG. 11 illustrates a schematic of an NMR console which may be used with embodiments of the NMR sensor.

FIGS. 12A-D show an example embodiment in which each magnet 210 in each array 213 can rotate relative to a body 200.

FIG. 13 shows a device including a plurality of motors according to an example embodiment.

FIG. 14 shows an example coupling between a magnet and a shaft.

FIG. 15 shows an example of a coupling between a rotor shaft and an output shaft.

FIG. 16 shows an example flow chart for generating power using a device as described herein and disconnecting a motor or a magnet from the device.

FIG. 17 shows a device for generating a variable magnetic field according to an example embodiment.

FIG. 18 shows a flow chart for generating a variable magnetic field according to an example embodiment.

FIG. 19 shows an example tessellating pattern using six-coil arrays.

FIGS. 20 and 21 show a generator according to an example embodiment.

FIG. 22 shows another generator according to an example embodiment.

NOTATION AND NOMENCLATURE

Certain terms are used throughout the following description and claims to refer to particular system components. This document does not intend to distinguish between components that differ in name but not function.

In the following discussion and in the claims, the terms “including” and “comprising” are used in an open-ended fashion, and thus should be interpreted to mean “including, but not limited to . . . ”. Also, the term “couple” or “couples” is intended to mean either an indirect or direct connection. Thus, if a first device couples to a second device, that connection may be through a direct connection, or through an indirect connection via other devices and connections.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

Referring now to the Figures, embodiments of the disclosed sensor and methods will be described. As a threshold matter, embodiments of the sensor and methods may be implemented in numerous ways, as will be described in more detail below, including for example as a system (including a computer processing system), a method (including a computer implemented method), an apparatus, a computer readable medium, a computer program product, a graphical user interface, a web portal, or a data structure tangibly fixed in a computer readable memory. Several embodiments of the disclosed sensor and methods are discussed below. The appended drawings illustrate only typical embodiments of the disclosed methods and therefore are not to be considered limiting of its scope and breadth.

For purposes of this disclosure, embodiments of the tool may be referred to as the Multi SPOT (or NMR Multi SPOT), for Multiple Semi-Halbach Porosity Tool. Generally, embodiments of the tool 100 include a plurality of magnets 110 arranged in an array 113. In an embodiment, referring to FIGS. 1A-1B, the array 113 may be composed of several permanent magnets 110, arranged so as to produce a “sweet spot” 115 within the array 113. The magnets 110 may be any suitable magnet known to those of skill in the art. In an embodiment, the magnets can be permanent magnets. More specifically, examples of permanent magnets include without limitation, neodymium magnets, rare earth magnets, ceramic magnets, iron alloy magnets, or combinations thereof. In an embodiment, magnets 110 may be cuboidal in geometry. However, other suitable geometries may be used. For example, in some embodiments, magnets 110 may be cylindrical. In an embodiment, magnets 110 may have a length to height ratio of 1:1, alternatively 2:1, alternatively 3:1. The magnets 110 may range in strength from 0.1 to 1.6 T. However, any strength magnet may be used. In the embodiment shown in FIG. 1A, the magnets 110 may be held in place by support elements 112 which in some embodiments may be coupled to magnets 110. Support elements 112 may be metallic yet non-magnetic, or alternatively polymeric, ceramic, or plastic. As used herein, the “sweet spot” 115, as shown in FIG. 1B, refers to the region within the array 113, distributed around the local extremum in the magnetic field strength, where the magnetic field is most uniform and so the largest volume of spins can be excited and detected simultaneously. Although shown in the center of the array 113 in the Figures, the sweet spot 115 may be located in any position within the array 113 according to the configuration of magnets 110. The core or fluid samples to be analyzed are generally disposed or placed in the sweet spots 115 for analysis. To be clear, samples of any suitable phase may be analyzed (e.g. solid, fluid, etc.) with embodiments of the sensor. Core or fluid samples from a subsurface formation (which may or may not contain hydrocarbons) may be extracted from the subsurface formation through any methods known to those of skill in the art.

For purposes of this disclosure, this arrangement may be hereinafter referred to as a semi-Halbach arrangement because it resembles a Halbach cylinder. However, embodiments of the semi-Halbach arrangement or array differ in several ways and are not to be equated with a Halbach cylinder which is known in the art. For example, the typical Halbach cylinder is composed of a contiguous ring of magnetic material, and the design generally used for NMR purposes produces an extremely homogeneous magnetic field in its center, with almost no field outside. That is, the sweet spot is effectively most (if not all) of the internal volume of the Halbach cylinder. Furthermore, standard NMR Halbach cylinders need to be equipped with extra coils for applying gradients, and the amplitude of the gradient will generally be much smaller (compared to the inherent gradient of the semi-Halbach) due to limitations on electrical currents in the coils. In comparison, the semi-Halbach configuration as disclosed herein is both simpler and cheaper, and it creates a sweet spot that features a relatively strong magnetic field gradient that can be exploited for NMR measurements of diffusion. For NMR rock analysis, the high field homogeneity of the standard Halbach may in fact be a disadvantage.

An NMR measurement is sensitive to the volume wherein the spread of resonance frequencies of the target nuclear species overlaps with the measurement bandwidth; the bandwidth is determined by the excitation pulse design and the electronics hardware, while the resonance frequency distribution is determined by the magnetic field distribution. For the semi-Halbach configuration, the magnetic field distribution is designed to give a large “sweet spot” volume where the resonance frequencies fall within a reasonable measurement bandwidth, providing a large sensitive region. Embodiments of the semi-Halbach design may actually decrease sensitive volume for the sake of a higher built-in field gradient. Also in addition, the semi-Halbach configuration produces a magnetic field both on the inside and outside of the array 113, unlike a traditional Halbach cylinder, and embodiments of the Multi SPOT take advantage of this feature.

As seen in FIGS. 1-9, an embodiment of NMR sensors or MultiSPOTs may include a pattern of semi-Halbach arrays 113, with each array 113 sharing magnets 110 with those adjacent to it. For example, as shown in FIG. 1C, each array 113 has 4 magnets with a sweet spot 115. However, each array 113 shares magnets 110 with the other arrays 113. Magnets 110 are generally disposed non-contiguous to one another. That is, they are not in contact with one another. In this way, multiple sweet spot regions 115 are produced using a minimal number of magnets. In the exemplary embodiments shown in FIGS. 2 through 7 and FIG. 9 the magnets simulated had dimensions of 0.5 inches×0.5 inches×2 inches with remnant magnetization of 1.48 Tesla. However, as discussed already, the magnets 110 may be of any suitable dimension, shape, or strength. The magnets 110 in each array 113 can be arranged in any pattern that fully tiles, or “tessellates”, the plane with the sweet spots occurring in the center of individual groups of magnets. Any number of patterns may be incorporated into the sensor 100. In one embodiment, the patterns can be made up of regular polygons (i.e. equiangular and equilateral in geometry). Examples of regular polygons include without limitation, squares, triangles, hexagons, pentagons, octagons, decagons, any regular n-gon (where n is equal to the number of sides), and combinations thereof. However it is contemplated that all designs and applications discussed in this disclosure should be considered and can be extended to all tessellating patterns. The simplest patterns may include those of three-, four-, and six-magnet arrays 113, since a plane can be fully tiled by regular triangles, squares, and hexagons (see FIGS. 3A-B, 2A-B, and 4A-B, respectively). Patterns including more than one type of regular polygon are also possible, such as the two different patterns of octagons and squares shown in FIGS. 6A-B and 7A-B. In other embodiments, the arrays 113 may be made up of irregular polygons where the sides are not equilateral and/or not equiangular. In addition, magnets 110 may be spaced any suitable distance from each other in the patterns depending on the desired magnetic field (i.e. field strength and/or spatial profile) and application. Each array 113 may also include one or more coils. In an embodiment, each array 113 may also include an array of coils. In an embodiment, the coils can be radiofrequency coils, gradient coils, shimming coils, or combinations thereof. However, any coils known to those of skill in the art may be used. The purpose of the coils is to act as an antenna for transmitting and receiving radiofrequency signals into/from the sample; as well one or more coils for application of magnetic field gradients, either continuously or pulsed; as well as one or more coils for “shimming” or cancellation of existing (device or environmental) magnetic field gradients. In an embodiment, the coils can be disposed within the array 113. In some embodiments, a layer of metal, which may be referred to as an RF shield, may be positioned between the coils and the magnets, to shield (via the skin effect) the radiofrequency signals from causing eddy currents and/or mechanical ringing in the magnets.

In other embodiments of the sensor 100, the arrays 113 do not need to be arranged on the surface of a flat plane. The tiling can instead be of another two-dimensional surface, such as the surface of a sphere or polyhedron; perhaps the most well-known such tiling is that of the surface of a soccer ball by alternating regular pentagons and regular hexagons.

There are a number of different possible arrangements of the magnets in a standard Halbach cylinder to produce a variety of magnetic field distributions. The arrangement commonly used for NMR applications is an effective dipole that produces a highly uniform field inside the cylinder. Ideally, this dipole arrangement consists of magnetic material with a continuously varying magnetization that undergoes an accumulated 720° (4π) rotation over the physical 360° (2π) of the cylinder—in other words, the orientation of the magnetization varies continuously to complete two full rotations along the outside of the cylinder. In practice, discontinuous pieces of magnetic material are generally used, each with a uniform direction of magnetization. For some patterns, the magnets of the MultiSPOT array can be arranged so that each semi-Halbach array 113 features the same 4π total rotation of magnetization, giving the maximal field in each sweet spot; this is possible for the triangle and square patterns, for instance, as shown in FIGS. 3 and 2, respectively. Likewise, for the octagonal/square patterns it can be achieved for the octagonal units but not the square units. In all cases, the magnetization of all individual magnets can instead be set parallel, sacrificing the field strength in some units in favor of maintaining a more uniform field pattern among the units (compare FIGS. 4 and 5 for the case of the hexagonal pattern).

In determining the magnetic field for an array 113, consider a two-dimensional, infinite grid of magnets, each with magnetic dipole moment m, arranged around a detection region at the origin. The magnetic field experienced at the origin due to a magnet 110 located at a position r=r{circumflex over (r)} is given by:

$\begin{matrix} {{B(r)} = {{\frac{\mu_{0}}{4\pi\; r^{3}}\left\lbrack {{3\left( {m \cdot \hat{r}} \right)\hat{r}} - m} \right\rbrack}.}} & (1) \end{matrix}$

The distance between the center of the detector and the four nearest magnets is d, and the magnets lie on a grid with spacing 2d. As shown in FIG. 1C, each magnet 110 lies at a point (a*d, b*d), where one of the coefficients {a,b} is odd and the other is even. The convention is adopted that all magnets with odd a have positive magnetization m=+m{circumflex over (x)}, while those with even a have negative magnetization m=−m{circumflex over (x)} (this can be achieved in practice by rotating the orientation of the appropriate magnets by 180 degrees).

From Equation (1), the field at the origin due to the magnet at (a*d,b*d) is given by:

$\begin{matrix} {{B\left( {a,b} \right)} = {\frac{\left( {- 1} \right)^{b}m\;\mu_{0}}{4\pi\;{d^{3}\left( {a^{2} + b^{2}} \right)}^{5/2}}{\left\{ {{\left\lbrack {{3\; a^{2}} - \left( {a^{2} + b^{2}} \right)} \right\rbrack\hat{x}} - {3\;{ab}\;\hat{y}}} \right\}.}}} & (2) \end{matrix}$

In Equation (2), to is the permeability of free space (or vacuum permeability), with an SI value of μ₀=4π×10⁻⁷ N/A². Due to symmetry, the total ŷ component due to the entire grid cancels, as does the (a²+b²) term of the {circumflex over (x)} component. The total field at the origin due to the infinite grid shown in FIG. 1C is then:

$\begin{matrix} {B = {\frac{3\; m\;\mu_{0}}{4\pi\; d^{3}}{\sum\limits_{j = {- \infty}}^{\infty}{\sum\limits_{k = {- \infty}}^{\infty}{\frac{\left( {{2\; j} + 1} \right)^{2} - \left( {2k} \right)^{2}}{\left\lbrack {\left( {{2j} + 1} \right)^{2} + \left( {2k} \right)^{2}} \right\rbrack^{5/2}}\hat{x}}}}}} & (3) \\ {B \approx {\frac{0.44\; m\;\mu_{0}}{d^{3}}{\hat{x}.}}} & (4) \end{matrix}$

Note that this is a simplification. For a magnet of characteristic length l located at a distance r from the origin, the assumption of a point dipole in Equation (1) is valid only if the magnet is located far enough away such that l«r. The field experienced due to magnets located closer than this must be calculated by treating the magnets as three-dimensional objects of finite size and integrating over their volumes. Since the magnetic field falls off as 1/r³, nearby magnets contribute most of the total field, and so the error in Equation (4) is significant. Nevertheless, it generally gives the correct order of magnitude for the total field and can be used for basic considerations.

Different embodiments of the NMR sensor 100 (Multi SPOT) can use each individual sweet spot for analysis of a different sample (which may be rock, fluid, etc.), and depending on the pattern of the arrays 113, the samples may have approximately the same magnetic resonance frequency. Depending on the availability of the necessary electronics (e.g. NMR console, radiofrequency (RF) power amplifier, and tuning circuit), multiple samples can therefore be measured simultaneously. In another embodiment, multiple samples can be measured sequentially. The latter method would solve the problem of low duty cycle in conventional low-field measurements; each sample can be analyzed in turn while the others repolarize. In an embodiment, this may be accomplished by using a q-switch for each circuit. Q-switching is a technique designed to shorten the ringing time of the pulsed NMR transmission/acquisition circuit by dynamically adjusting the impedance of the receiver and the probe during pulsing and signal acquisition. Here, the same technique can be used to dynamically select the signal only from the desired probe for detection by the receiver. The technique can also be used to dynamically select which probe applies pulses at any given time. However, any method or hardware could be used to select between the probes in order to sequentially measure the different samples. The simultaneous method would require one set of electronics for each sample, while the sequential method could potentially reduce this number by a factor of up to 1/d, where d is the duty cycle of the measurement (e.g., a factor of 10 for a duty cycle of 10%). Note that one advantage of low duty cycle is that it reduces the extent of heating in the electronic circuit, and so high duty cycle might require additional engineering to prevent overheating.

In addition to measurements of static samples, there are also some compelling applications of the MultiSPOT design for analysis of moving fluids. NMR can be used to measure the fluid velocity, acceleration, and higher order derivatives, and can be used for characterization of flow. The Multi SPOT can be used for this purpose, but since the individual units make independent, localized measurements of the fluid passing through them, the device can form a mesh that maps the fluid velocity (or acceleration, or any other time-derivative of position) as a function of location along the flow cross-section. The MultiSPOT can thus be used for resolved imaging (potentially at high spatial resolution, depending on the size of the units) of flow, turbulence, etc. inside of a tube or pipe. A region of strong (but not necessarily homogeneous) magnetic field can be created upstream of the MultiSPOT device using some other arrangement of magnets, in order to polarize the nuclear spins of the fluid before they reach the device. Other measurements which may be analyzed with the MultiSPOT may include without limitation, a composition of the fluid sample, a water cut of the fluid sample, one or more molecular weights of any hydrocarbons contained within the fluid sample, or combinations thereof.

The MultiSPOT can also be used to increase the total flow length along which an NMR measurement can be made. In situations where the size (i.e., outer diameter) of the tubing is comparable to the size (i.e., inner diameter) of the unit cell, the flow path can simply be threaded among the different units. The total flow path can thus be increased, potentially indefinitely (although in practice, this will be restricted by the size of the MultiSPOT device), while the fraction of that path lying outside the magnet sweet spots can be minimized. This can dramatically increase the polarization time, especially in situations of fast flow.

FIG. 9 shows the arrangement that maximizes the number of arrays 113 for a given number of magnets 110, in the case of a four-magnet array 113. This arrangement minimizes the surface-to-area ratio of its outside border; in principle the optimal design would have a perfectly circular border. FIG. 9 shows an arrangement which is an approximation to that shape. The example shown features 37 arrays made of 52 magnets, much higher than the 1:4 ratio of a single unit; this ratio further increases as the sensor gets larger. Other embodiments of sensor 100 may contain any suitable number of arrays 113 and magnets 110 depending on cost and application. Although not obvious in FIG. 9, the sweet spots are distorted near the edges (this can be seen in FIG. 8B). In an embodiment, the outer units can be used for pre-polarization in a flow experiment (polarization requires only a strong magnetic field, not a homogeneous one), while the inner units are used for the NMR measurement itself. In the most extreme case, only the most central unit can be used for a short NMR experiment while all other units are used for pre-polarization, maximizing the available polarization time.

In general, care needs to be taken that the fluid does not flow through a point of zero magnetic field while in transit between different units, as this causes the spins to depolarize. However, in some applications this effect can be taken advantage of; for instance, a measurement (one example being a measurement of polarization time, or “T1”) can include steps where the spins are purposely depolarized at a point of zero field while in transit between units.

The NMR measurement can also be split between different sensing regions. For example, NMR remote detection separates an NMR flow experiment into encoding and detection steps that occur at different locations. With a Multi SPOT, those locations can be different sensing units. The flow might occur in the “threaded” configuration described above. Another possibility is that the flow might occur between separate MultiSPOT meshes located at different points along the flow path. Information encoded at one or more particular units at an upstream mesh may disperse and be detected at a number of units in a downstream mesh, allowing for that dispersion to be characterized in addition to any other data provided by the NMR measurement.

Samples which can be analyzed using a MultiSPOT device are not limited to only those of interest to the oil industry (such as petroleum, brine, and natural gas), but also may be samples used in other industrial applications (e.g. food or chemical industry). In other words, static samples do not need to be contained in a rock, and fluids (whether in static or flow configuration) are not limited to water and hydrocarbons; any fluid and/or solid phase material containing NMR-active nuclei may be detected, so long as the electronics are appropriately tuned to the resonance frequency(ies) of the nucleus(i) (1H, 13C, 23Na, etc.) as determined by the magnetic field strength in the sweet spots of the various sensing regions. The sample may be a core sample which is made up of solid phase materials (e.g. rocks, minerals) and fluids (e.g. hydrocarbons, gases) trapped within the pore spaces of the core sample. In a non-oil and gas example, blood may be analyzed to monitor for disease. A measurement may involve more than one nuclear species when appropriate for the sample, which requires either adjusting the frequency at which the electronics are tuned, or else having multiple electronic circuits each dedicated to a particular nucleus.

FIG. 10 illustrates, according to an example of an embodiment of a system 20, which may perform the operations described in this specification to perform the operations disclosed in this specification. In this example, system 20 is as realized by way of a computer system including an NMR sensor 100 connected to a workstation 21 which may be connected to server 30 by way of a network. In an embodiment, NMR sensor 100 may be coupled to an NMR console 50, which also may be coupled to a system 20. FIG. 11 illustrates an NMR console 50 which may be used in conjunction with embodiments of the sensor. NMR console 50 may include without limitation, a digital controller 51, a pulse sequence generator 53, a digital receiver 55, RF power amplifier 59 and an RF preamplifier 57. Other components as are known to those of skill in the art may be included in the NMR console. Although one configuration of an NMR console is shown in FIG. 11, any NMR consoles known to those of skill in the art may be used.

Of course, the particular architecture and construction of a computer system or NMR console 50 useful in connection with this invention can vary widely. For example, system 20 may be realized by a single physical computer, such as a conventional workstation or personal computer, or alternatively by a computer system implemented in a distributed manner over multiple physical computers. Accordingly, the generalized architecture illustrated in FIG. 10 is provided merely by way of example.

As shown in FIG. 10 and as mentioned above, system 20 may include workstation 21, NMR sensor 100 and server 30. Workstation 21 includes central processing unit 25, coupled to system bus. Also coupled to system bus is input/output interface 22, which refers to those interface resources by way of which peripheral functions (e.g., keyboard, mouse, display, etc.) interface with the other constituents of workstation 21. Central processing unit 25 refers to the data processing capability of workstation 21, and as such may be implemented by one or more CPU cores, co-processing circuitry, and the like. The particular construction and capability of central processing unit 25 is selected according to the application needs of workstation 21, such needs including, at a minimum, the carrying out of the functions described in this specification, and also including such other functions as may be executed by computer system. In the architecture of allocation system 20 according to this example, system memory 24 is coupled to system bus, and provides memory resources of the desired type useful as data memory for storing input data and the results of processing executed by central processing unit 25, as well as program memory for storing the computer instructions to be executed by central processing unit 25 in carrying out those functions. Of course, this memory arrangement is only an example, it being understood that system memory 24 may implement such data memory and program memory in separate physical memory resources, or distributed in whole or in part outside of workstation 21. In addition, as shown in FIG. 10, parameter inputs 28 may be input via input/output function 22, and stored in a memory resource accessible to workstation 21, either locally or via network interface 26.

Network interface 26 of workstation 21 is a conventional interface or adapter by way of which workstation 21 accesses network resources on a network. As shown in FIG. 10, the network resources to which workstation 21 has access via network interface 26 includes server 30, which resides on a local area network, or a wide-area network such as an intranet, a virtual private network, or over the Internet, and which is accessible to workstation 21 by way of one of those network arrangements and by corresponding wired or wireless (or both) communication facilities. In this embodiment of the invention, server 30 is a computer system, of a conventional architecture similar, in a general sense, to that of workstation 21, and as such includes one or more central processing units, system buses, and memory resources, network interface functions, and the like. According to this embodiment of the invention, server 30 is coupled to program memory 34, which is a computer-readable medium that stores executable computer program instructions, according to which the operations described in this specification are carried out by allocation system 30. In this embodiment of the invention, these computer program instructions are executed by server 30, for example in the form of a “web-based” application, upon input data communicated from workstation 21, to create output data and results that are communicated to workstation 21 for display or output by peripherals P in a form useful to the human user of workstation 21. In addition, library 32 is also available to server 30 (and perhaps workstation 21 over the local area or wide area network), and stores such archival or reference information as may be useful in allocation system 20. Library 32 may reside on another local area network, or alternatively be accessible via the Internet or some other wide area network. It is contemplated that library 32 may also be accessible to other associated computers in the overall network.

The particular memory resource or location at which the measurements, library 32, and program memory 34 physically reside can be implemented in various locations accessible to allocation system 20. For example, these data and program instructions may be stored in local memory resources within workstation 21, within server 30, or in network-accessible memory resources to these functions. In addition, each of these data and program memory resources can itself be distributed among multiple locations. It is contemplated that those skilled in the art will be readily able to implement the storage and retrieval of the applicable measurements, models, and other information useful in connection with this embodiment of the invention, in a suitable manner for each particular application.

According to this embodiment, by way of example, system memory 24 and program memory 34 store computer instructions executable by central processing unit 25 and server 30, respectively, to carry out the disclosed operations described in this specification, for example, by way of which the NMR data is processed and/or analyzed. These computer instructions may be in the form of one or more executable programs, or in the form of source code or higher-level code from which one or more executable programs are derived, assembled, interpreted or compiled. Any one of a number of computer languages or protocols may be used, depending on the manner in which the desired operations are to be carried out. For example, these computer instructions may be written in a conventional high level language, either as a conventional linear computer program or arranged for execution in an object-oriented manner. These instructions may also be embedded within a higher-level application. Such computer-executable instructions may include programs, routines, objects, components, data structures, and computer software technologies that can be used to perform particular tasks and process abstract data types. The instructions may include software and/or code for running NMR console 50. It will be appreciated that the scope and underlying principles of the disclosed methods are not limited to any particular computer software technology. For example, an executable web-based application can reside at program memory 34, accessible to server 30 and client computer systems such as workstation 21, receive inputs from the client system in the form of a spreadsheet, execute algorithms modules at a web server, and provide output to the client system in some convenient display or printed form. It is contemplated that those skilled in the art having reference to this description will be readily able to realize, without undue experimentation, this embodiment of the invention in a suitable manner for the desired installations. Alternatively, these computer-executable software instructions may be resident elsewhere on the local area network or wide area network, or downloadable from higher-level servers or locations, by way of encoded information on an electromagnetic carrier signal via some network interface or input/output device. The computer-executable software instructions may have originally been stored on a removable or other non-volatile computer-readable storage medium (e.g., a DVD disk, flash memory, or the like), or downloadable as encoded information on an electromagnetic carrier signal, in the form of a software package from which the computer-executable software instructions were installed by allocation system 20 in the conventional manner for software installation.

In one example embodiment of the present disclosure, the magnets provided in each array can rotate relative to a body that houses the magnets (or the field generated by each magnet can oscillate, e.g., the magnitude and/or the direction of the field can oscillate). Rotation of the magnets relative to the body (or oscillation of the magnetic field that each magnet generates) over time can oscillate the magnetic field inside each array. FIGS. 12A-D show an example embodiment in which each magnet 210 in each array 213 can rotate relative to a body 200. As the magnets 210 (or magnetic elements 210) rotate relative to the body 200, the magnetic field at a sweet spot 215 within each array 213 changes or oscillates. As such, a device which includes magnets capable of rotation relative to the body can be used to create one or more motors.

An electric motor can include a rotor, a stator and a shaft. The rotor can turn the shaft to deliver mechanical power. The rotor usually has conductors attached to it. These conductors can carry currents, which interact with the magnetic field of the stator to generate the forces that turn the shaft. Alternatively, some rotors can carry permanent magnets, and the stator holds the conductors. The stator can be the stationary part of the motor's electromagnetic circuit and usually consists of either windings or permanent magnets. In one example embodiment of this disclosure, the stator can include one or more magnets that rotate relative to the body.

FIG. 13 shows a device including a plurality of motors according to an example embodiment. In this example embodiment, the body 200 can include a plurality of cavities 220. Although only five cavities are shown in this example embodiment, one of ordinary skill in the art recognizes that a device according to this disclosure can include more or less than five cavities. Additionally, one of ordinary skill in the art recognizes that the cavities 220 can have the same size or different sizes. In this example embodiment, the cavity at the center is smaller than the other cavities. In some embodiments, some of the cavities can be larger than other cavities.

Each cavity can be associated with at least one magnet 210. For example, in this embodiment, each cavity 220 is surrounded by four magnets 210. The cavities 220 and the magnets 210 form the arrays 213. As discussed above, the arrays 213 can tessellate, e.g., each array 213 shares one or more magnets with another array 213. For example, the array 213 at the center of FIG. 13 shares one magnet 210 with each of the arrays 213 around it. In each array 213, the magnets 210 can be arranged in a semi-Halbach configuration. In one example embodiment of the semi-Halbach configuration, the direction of the magnetic field of the magnets 210 can rotate twice as the magnets are distributed around the circumference of the cavity.

In one example embodiment, each magnet 210 can be coupled to a shaft which can rotate the magnet. FIG. 14 shows an example coupling between a magnet and a shaft. In this example embodiment, each magnet 210 can be attached to a worm gear 310 (or transfer input element). The worm gear 310 can be mechanically coupled to a worm shaft 320. The worm shaft 320 can be rotated using, e.g., a motor. In another example embodiment, each magnet 210 can be directly connected to a motor, e.g., a stepper motor. In this example embodiment, the stepper motor can be electrically connected to a controller, which can command the stepper motor to rotate the magnet at a predetermined rate and direction. In this embodiment, each magnet can be rotated at a specified direction and rotational speed. The controller can specify the direction and rotational speed for each magnet.

In one example embodiment, the shaft for each rotor can be coupled to an output shaft for transferring the motive force of the motor to the output shaft. FIG. 15 shows an example of a coupling between a rotor shaft and an output shaft. In this example embodiment, a rotor shaft 230 (displayed in FIG. 13) is connected to the worm gear 410 (or transfer output element). The worm gear 410 can be coupled to the output shaft 420 for transferring a torque generated by the rotor 225 to the output shaft 420.

In one example embodiment, a user can specify a command at the controller for rotating the magnets. For example, the controller can include a user interface configured to receive commands from the user. In this example embodiment, each array can include 6 magnets and each magnet can be connected to a stepper motor. Each stepper motor can be connected to the controller. A user can specify a pattern of change in the magnetic field for each array at the controller. Based on the specified pattern, the controller can determine how fast to rotate each magnet and a direction of rotation (e.g., clockwise or counterclockwise) for each magnet.

In one example embedment, each magnet 210 (or magnetic element 210) can be a permanent magnet. In another example embodiment, each magnet 210 (or magnetic element 210) can be a coil which generates a magnetic field based on an input current. In this example embodiment, it is possible to physically rotate the coil. Additionally or alternatively, it is possible to generate a pattern analogous to rotation of the coil by changing the current that flows through the coil. One of ordinary skill in the art recognizes that the magnets provided in a device according to this disclosure can be a combination of permanent magnets and coils.

In one example embodiment, one or more of the magnets 210 can be coils. In a coil, the magnetic field is proportional to the amplitude of the current passing through the coil. Similarly, a time-varying current can generate a proportional time-varying magnetic field. Using similar tessellating patterns as for the magnet arrays (e.g., polygons), these coils can be shared between neighboring arrays. A coil can generate the same field (but with opposite direction) on each side of the coil. Thus, by using coils instead of or in addition to permanent magnets, the same efficiency in driving more rotors for a given number of stator elements can be achieved. In one embodiment, the coils can be solenoids.

In one example embodiment, one or more of the coils can use direct current (or DC). Pulses of electric current of finite length can be applied in succession to different stators, which can cause the rotor to realign in response to the field produced by each active stator. In one example, in order to make the rotation of the rotor more stable, one or more stators can be excited at a time. For example, in a six-stator design, opposite pairs of stators may be excited simultaneously (e.g., by wiring them together either in series or in parallel) in such a way that their magnetic fields add constructively at the location of the rotor. In one example, any number of stators can be used for each motor, so long as the stators form a semi-Halbach tessellating pattern. In one example, power can be applied to adjacent pairs of stators to produce a smoother rotation. In one example, numerous coils can be wired together across numerous coil arrays, so that the rotors in those arrays rotate together in sync. This can generate more power or drive more external elements than a single coil array. This embodiment can take advantage of shared efficiencies between the coils. In one example embodiment, depending on the design, some rotors can rotate in the opposite direction of the others (e.g., clockwise v. counter-clockwise), but at the same rate.

In one example embodiment, one or more of the coils can use alternating current (or AC). In this embodiment, different stators of the motor can be driven by the various phases of the AC power supply. For example, a three-stator design could have each stator excited by one of the three phases of a standard AC electric utility supply, while a six-stator design could have physically opposite pairs excited by the same phase (e.g., these coils could be wired in series or in parallel). An AC power supply with a number of phases other than three could likewise excite a different number of stators. The magnetic fields generated by each phase would oscillate in time with the AC power supply, and the combination of different phases would cause the magnetic field in the sweet spot of the coils to rotate at the frequency of the power supply. Similar to the DC design, numerous coils can be wired together across numerous coil arrays, so that the rotors in those arrays rotate together in sync, thereby generating more power or driving more external elements than a single coil array, and taking advantage of shared efficiencies. In one example, depending on design, some rotors can rotate in the opposite direction of the others (e.g., clockwise v. counter-clockwise). FIG. 19 shows an example tessellating pattern using six-coil arrays. In this example embodiment, coils that share the same letter can be wired together, e.g., all “A” coils can be wired together.

In one example embodiment, the coils can be excited by applying an electric current to one or more coils in a plurality of magnet arrays. In one example, the electric current can be a direct current applied for a finite length of time. In another example, the direct current can be applied in succession to different coils within each magnet array in order to cause the direction of the magnetic field at the sweet spot to rotate. In yet another example, the pattern of direct current excitations can be repeated. In yet another example, a plurality of coils within each magnet array can be excited simultaneously. In these examples, the rotation of the direction of the magnetic field at the sweet spot in the cavity can cause the rotor to rotate.

In one example embodiment, the electric current can be an alternating current. In one example, the alternating current can have multiple phases, and one or more coils in each magnet array can be excited by each phase. The excitation by the alternating current can cause the direction of the magnetic field at the sweet spot to rotate. The rotation of the direction of the magnetic field at the sweet spot can cause the rotor to rotate.

The configuration disclosed in FIG. 13 (and other Figures) can offer several benefits. For example, traditional motors include stators but because each motor is a separate unit, part of the magnetic field generated by the stator is dissipated outside of the motor. The tessellating configuration of one of the embodiments of this disclosure captures this magnetic field outside the motor and utilizes it to generate motion. As such, this configuration is more efficient than traditional configurations. Additionally, because the configuration of this example embodiment utilizes a semi-Halbach arrangement of the magnets, it is possible to utilize permanent magnets for each motor. The semi-Halbach arrangement builds up or focuses the magnetic fields of the permanent magnets at the center of each array, and thus, creates a relatively strong magnetic field at the center of each array. This, in turn, enhances the performance of each motor.

In one example embodiment, each cavity can include one or more bearings. These bearings can mechanically couple with the rotor, i.e., the rotor shaft. The bearings can hold the rotor within each cavity. In one example embodiment, each rotor shaft can be coupled to a clutch, e.g., the clutch can connect or disconnect transfer of power from each rotor shaft to the output shaft. In one example embodiment, one or more of the clutches can be coupled to the controller. The controller can command the clutches to connect or disconnect each motor to or from the output shaft. There can be several benefits for using a clutch for each motor. For example, in the event that there is a malfunction detected in one of the motors, the controller can command the clutch designated to that motor to disconnect the motor from the output shaft. This can avoid dissipation of power by the malfunctioning motor. Additionally, by controlling how many motors can connect to the output shaft at any given time, the power output of the output shaft can be adjusted incrementally. For example, the output power of the shaft can be decreased when the shaft generates excess power. This reduction can be achieved by disconnecting one or more of the motors. In one example embodiment, one or more of the magnets 210 can be connected to a clutch which can disconnect the magnet from the worm shaft 320. In this example embodiment, the controller can be connected to the clutch to command the clutch to connect or disconnect the magnet from the worm shaft 320.

FIG. 16 shows an example flow chart for generating power using a device as described herein and disconnecting a motor or a magnet from the device. In step 510, a controller of the device can receive an input from a user or through API from another application program. The input can indicate a desired output by the device. In step 520, the controller can determine a rotational direction and a rotational speed (i.e., rotational parameters) for each motor of the device. In step 530, the controller can command the motors associated with each magnet to rotate the magnets according to the specified parameters. In step 540, the controller can receive sensor data indicating malfunction in a motor. The sensor data can include torque output, temperature, current input, etc. for the motor. In one example, the sensor data can be based on whether the motor needs to be serviced, e.g., based on the time of last inspection and service. In step 550, the controller can transmit a command, message or signal to the clutch associated with the malfunctioning motor to disconnect the motor. The controller can further notify the user to inspect the malfunctioning motor. The notification can also be transmitted through an API call.

In some embodiments, in step 530, the controller can determine a pattern of electrical currents for each coil of the device according to one or more specified parameters. The controller can transmit the determined pattern of electrical current to each respective coil. For example, the controller can determine a first pattern of current to apply to a first group of coils and a second pattern of current to apply to a second group of coils. Subsequently, the controller can transmit the first pattern of current to the first group of coils and the second pattern of current to the second group of coils.

FIG. 17 shows a device for generating a variable magnetic field according to an example embodiment. In this example embodiment, the device can include a body 200, a plurality of magnets 210, a plurality of cavities 220 and a plurality of arrays 213. Using a controller, the device is configured to rotate each magnet 210. The controller can specify a rate and a direction for rotation of each magnet. When the magnets 210 rotate, a variable magnetic field 610 can be generated in each cavity 220 of the device.

FIG. 18 shows a flow chart for generating a variable magnetic field according to an example embodiment. In this example, in step 710, a controller of the device can receive an input from the user. The input can indicate a variable magnetic field pattern, e.g., the pattern displayed in FIGS. 12A-D. In step 720, the controller can determine a rotational direction and a rotational speed (i.e., rotational parameters) for each motor of the device. In step 730, the controller can command the motors associated with each magnet to rotate the magnets according to the determined parameter. In one example embodiment, in step 730, the controller can direct the pattern of electrical currents applied to the coils according to the determined parameters.

In one example embodiment, the device of this disclosure can operate as a generator, e.g., in a wind turbine or a hydroelectric generator. FIGS. 20 and 21 show a generator 800 according to an example embodiment. In this example embodiment, the generator 800 can include a body 805 which houses a plurality of coils 810. Some of the coils 810 can be a part of a coil array 813 (or multiple coil arrays 813). The coils 810 in the coil array 813 can define a polygon and the coils 810 within the coil array 813 can be arranged in a semi-Halbach configuration. The polygons of the coil arrays 813 can form a tessellating pattern in which the coil arrays each share at least one coil with another one of the coil arrays. The body 805 can also include a plurality of cavities 820. Each cavity 820 can receive a rotor 225, which includes a rotor shaft 230. The rotor can include at least one coil or permanent magnet. The rotor shaft 230 can be mechanically coupled to a worm gear 410 (e.g., transfer input element), which can be coupled to an input shaft 920.

In one example embodiment, the input shaft 920 can receive rotational movement or force from an energy source, e.g., wind or water turbine. Consequently, the input shaft 920 can transfer rotational force to rotor 225 through the worm gear 410 and the rotor shaft 230. The rotational movement of the rotor 225 (which can include one or more magnetic elements) can induce electromagnetic field and/or magnetic flux in one or more of the coils 810. As a result, each coil 810 can generate current and/or electricity, and the generator 800 can generate electricity using mechanical movement received from the source. One of ordinary skill in the art recognizes that the generator 800 can be used in a variety of applications, including wind or water turbines and other applications.

FIG. 22 shows another generator according to an example embodiment. In this example embodiment, the coils 810 form stators 902. The generator can also receive a plurality of rotors 225, some of which can be connected to one or more turbines 901. In this example embodiment, the turbines 901 can rotate and cause rotation of the rotors 225. This rotation will result in generation of electricity by the generator 900. In one example embodiment, the turbines 901 may be indirectly connected to the rotors 225.

In one example embodiment, the generator 800 can be used for generating electricity. Accordingly, in one example embodiment, a method for generating electricity is disclosed. In this example, the generator 800 is configured to receive a rotational force from a source of energy, e.g., wind turbine, and generate electricity using the rotational force. The rotational force can be received at a transfer input element of the generator 800. The rotational force can rotate at least one rotor of the generator 800, and the rotor can generate electricity in the coils of the generator 800.

While the embodiments of the invention have been shown and described, modifications thereof can be made by one skilled in the art without departing from the spirit and teachings of the invention. The embodiments described and the examples provided herein are exemplary only, and are not intended to be limiting. Many variations and modifications of the invention disclosed herein are possible and are within the scope of the invention. Accordingly, the scope of protection is not limited by the description set out above, but is only limited by the claims which follow, that scope including all equivalents of the subject matter of the claims.

The discussion of a reference is not an admission that it is prior art to the present invention, especially any reference that may have a publication date after the priority date of this application. The disclosures of all patents, patent applications, and publications cited herein are hereby incorporated herein by reference in their entirety, to the extent that they provide exemplary, procedural, or other details supplementary to those set forth herein. 

What is claimed is:
 1. A device comprising: a body comprising a plurality of magnet arrays, wherein: each magnet array comprises a plurality of magnetic elements which define a polygon and the plurality of magnetic elements are arranged in a semi-Halbach configuration; the polygons of the magnet arrays form a tessellating pattern in which the magnet arrays each share at least one magnetic element with another one of the magnet arrays; and each magnetic element is configured to generate an oscillating magnetic field; and a plurality of rotors rotatable relative to the body, wherein one or more semi-Halbach configurations produces a magnetic field both inside and outside of the array, wherein the magnetic field inside the magnet array comprises a sweet spot configured to receive one of the plurality of rotors rotatable relative to the body wherein the sweet spot is a local extremum in magnetic field strength.
 2. The device of claim 1, wherein the plurality of magnetic elements are permanent magnets, coils, or a combination of permanent magnets and coils.
 3. The device of claim 2, wherein one or more of the coils are solenoids.
 4. The device of claim 2, wherein at least two coils are wired together.
 5. The device of claim 4, wherein the coils are wired in series or parallel.
 6. The device of claim 1, further comprising: a plurality of transfer input elements, wherein each transfer input element is connected to a magnet and the transfer input element is configured to rotate the magnet at a rate.
 7. The device of claim 6, wherein each transfer input element is mechanically coupled to a motor.
 8. The device of claim 1, further comprising: a plurality of transfer output elements, wherein each transfer output element is connected to a rotor and the rotor is configured to rotate the transfer output element.
 9. The device of claim 8, wherein each transfer output element is mechanically coupled to an output shaft.
 10. The device of claim 1, further comprising a controller.
 11. The device of claim 10, further comprising a first motor and a second motor, wherein a first group of magnetic elements are coupled to the first motor and a second group of magnetic elements are coupled to the second motor.
 12. The device of claim 11, wherein the controller is configured to cause: the first motor to rotate the first group of magnetic elements at a first rate, and the second motor to rotate the second group of magnetic elements at a second rate.
 13. The device of claim 1, wherein the magnetic elements in each array are arranged in a regular polygonal pattern or an irregular polygonal pattern.
 14. The device of claim 1, wherein the magnetic elements each comprise a cuboidal geometry, a cylindrical geometry, or combinations thereof.
 15. The device of claim 1, wherein each rotor comprises at least one magnetic element.
 16. A method comprising: oscillating a magnetic field generated by a plurality of magnetic elements, wherein: each magnetic element is located in a body comprising a plurality of magnet arrays; each magnet array comprises at least three magnetic elements which define a polygon and the magnetic elements in each magnet array are arranged in a semi-Halbach configuration; and the polygons of the magnet arrays form a tessellating pattern in which the magnet arrays each share at least one magnetic element with another one of the magnet arrays; and generating a rotation movement using a plurality of rotors rotatable relative to the body, wherein each magnet array is configured to receive a rotor rotatable relative to the body; and wherein one or more semi-Halbach configurations produces a magnetic field both inside and outside of the array, wherein the magnetic field inside the magnet array comprises a sweet spot configured to receive one of the plurality of rotors rotatable relative to the body wherein the sweet spot is a local extremum in magnetic field strength.
 17. The method of claim 16, wherein the plurality of magnetic elements are permanent magnets, coils, or a combination of permanent magnets and coils.
 18. The method of claim 17, wherein oscillating the magnetic field includes applying a direct current or an alternating current to each coil.
 19. The method of claim 18, wherein: the direct current is applied for a finite length of time; the direct current is applied in succession to different coils within each magnet array in order to cause the direction of the magnetic field at a sweet spot to rotate; and/or a plurality of coils within each coil array is excited simultaneously.
 20. The method of claim 18, wherein the alternating current has multiple phases, and one or more coils in each magnet array is excited by each phase.
 21. The method of claim 18, wherein the excitation by the alternating current causes the direction of the magnetic field at a sweet spot to rotate.
 22. A device comprising: a body comprising a plurality of magnet arrays, wherein: each magnet array comprises a plurality of coils which define a polygon and the plurality of coils are arranged in a semi-Halbach configuration; and the polygons of the magnet arrays form a tessellating pattern in which the magnet arrays each share at least one coil with another one of the magnet arrays; and a plurality of magnetic rotors, wherein each magnet array is configured to receive a magnetic rotor rotatable relative to the body; and wherein one or more semi-Halbach configurations produces a magnetic field both inside and outside of the array, wherein the magnetic field inside the magnet array comprises a sweet spot configured to receive the magnetic rotor rotatable relative to the body wherein the sweet spot is a local extremum in magnetic field strength.
 23. The device of claim 22, further comprising: a plurality of transfer input elements, wherein each transfer input element is connected to the magnetic rotor and the transfer input element is configured to rotate the magnetic rotor.
 24. The device of claim 23, wherein each transfer input element is mechanically coupled to an energy source.
 25. The device of claim 24, wherein the energy source is a wind turbine or a water turbine. 